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Least squares estimation for a class of uncertain Vasicek model and its application to interest rates

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Abstract

This paper addresses statistical inference in uncertain differential equations, focusing on parameter estimation for a class of uncertain Vasicek model with a small dispersion coefficient from discrete observations. Least squares estimators are obtained using a defined contrast function. The consistency and asymptotic distribution of these estimators are established. Numerical simulations and empirical analysis on real interest rate data highlight the efficacy of the proposed estimators and the methodology’s practicality in capturing interest rate dynamics.

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Acknowledgements

This work was supported in part by the Key Research Projects of He’nan Universities in China under Grant 22A110001.

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  1. School of Mathematics and Statistics, Anyang Normal University, 436 Xian’ge Road, Anyang, 455000, Henan, China

    Chao Wei

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  1. Chao Wei
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Correspondence to Chao Wei.

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Wei, C. Least squares estimation for a class of uncertain Vasicek model and its application to interest rates. Stat Papers (2023). https://doi.org/10.1007/s00362-023-01494-1

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